23 citations · 28 across the 4 of their papers we have counts for
7 papers · 1 filter
Equivariant-constructible Koszul duality for dual toric varieties
Tom Braden, Valery A. Lunts
For a pair of affine toric varieties X and Y defined by dual cones, we define an equivalence between two triangulated categories. The first is a mixed version of the equivariant de…
Grothendieck ring of pretriangulated categories
A. I. Bondal, M. Larsen, V. A. Lunts
We consider the abelian group generated by quasi-equivalence classes of pretriangulated DG categories with relations coming from semi-orthogonal decompositions of correspondin…
Hard Lefschetz theorem and Hodge-Riemann relations for intersection cohomology of nonrational polytopes
P. Bressler, V. A. Lunts
The Hard Lefschetz theorem for intersection cohomology of nonrational polytopes was recently proved by K. Karu [Ka]. This theorem implies the conjecture of R. Stanley on the unimod…
Rationality criteria for motivic zeta-functions
Michael J. Larsen, Valery A. Lunts
The zeta-function of a complex variety is a power series whose nth coefficient is the nth symmetric power of the variety, viewed as an element in the Grothendieck ring of complex v…
Motivic measures and stable birational geometry
Michael Larsen, Valery A. Lunts
We study the motivic Grothendieck group of algebraic varieties from the point of view of stable birational geometry. In particular, we obtain a counter-example to a conjecture of M…
Deformations of Quasicoherent Sheaves of Algebras
Valery A. Lunts
Gerstenhaber and Schack ([GS]) developed a deformation theory of presheaves of algebras on small categories. We translate their cohomological description to sheaf cohomology. More…